Convergence of solutions for functional integro-differential equations with nonlinear boundary conditions

Autor:	Peiguang Wang, Yameng Wang, Cuimei Jiang, Tongxing Li
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Functional integro-differential equations Monotone iterative Quasilinearization Nonlinear boundary conditions Coupled lower and upper solutions Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-16 (2019)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-019-2456-y
Popis:	Abstract This paper is concerned with the convergence of solutions for a class of functional integro-differential equations with nonlinear boundary conditions. New comparison principles are obtained. By using the comparison principles and quasilinearization method, we present two monotone iterative sequences uniformly and monotonically converging to the unique solution with rate of order 2. Meanwhile, an example is given to demonstrate applications of the result reported.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/52b5ae02a08e4ec290cb53d92f59c510 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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